187k views
5 votes
A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches. Round to the correct significant digits

User Moko
by
8.2k points

1 Answer

2 votes
Let the length of a rectangle be l and the width of that rectangle be w, then the area of the rectangle is given by:


A_(rectangle)=l\cdot w

In our problem, l= 9 inches, and w=4.25 inches.

then,


A_(rectangle)=l\cdot w=9 \cdot 4.25=9\cdot(4+0.25)=9\cdot4+9\cdot0.25\\\\=36+2.25=38.25 (square inches)

--------------------------------------------------------------------------------------------------
Remark: we performed the following operation to make the multiplication easier:


9 \cdot 4.25=9\cdot(4+0.25)=9\cdot4+9\cdot0.25

we wrote 4.25 as 4+0.25, and multiplied 9 to each of these separately, instead of multiplying 9 to 4.25 directly, using the distributive property

thus making the operation a little easier.
----------------------------------------------------------------------------------------------------

Answer: 38.25 square inches


Remark :

Asking "Round to the correct significant digits" is not correct.

The number of significant digits must be stated.

if we want the number rounded to 3 significant digits 38.25 is 38.6

if we want the number rounded to 2 significant digits 38.25 is 38.0

if we want the number rounded to 1 significant digits 38.25 is 40,0


User Kamil Janowski
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.